The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1 12  1  1  8  1  1  1  2  0  2
 0  2  0  2  8  0 10  2  4  6  4 14  4 14 12 14  0  8 10 14 10  0  4  2 10 12  6  0  4 14  4 14 10  8  2  6  0  8 14  6  6  8 12 10 12  4  4  8  6 10  2 10  6  6  8  2  8 12 14  2 12 14  8  2  2  2 12  0  2  4  0 14  2 14
 0  0  2  2  4  6  6  4  4 14  2 12  6 10  0  8  0  2 14  4  2 12 10  4  8  4 10 14 14 14  8  8  0  2 10  8  4  6 10 14  4  0 14 12  8  0 10 10  6  2  0  4  2  4  0  6  6 12  0  8 14 14  4 14  6 10  2  8  0 12 10  2 14  4
 0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  8  8  8  8  8  8

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+114x^70+180x^71+369x^72+136x^73+540x^74+240x^75+275x^76+40x^77+42x^78+12x^79+38x^80+16x^81+8x^82+16x^83+20x^84+1x^132

The gray image is a code over GF(2) with n=592, k=11 and d=280.
This code was found by Heurico 1.16 in 0.466 seconds.